505253600 has 144 divisors (see below), whose sum is σ = 1322915328. Its totient is φ = 187760640.

The previous prime is 505253599. The next prime is 505253621. The reversal of 505253600 is 6352505.

It is a self number, because there is not a number n which added to its sum of digits gives 505253600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319009 + ... + 1319391.

It is an arithmetic number, because the mean of its divisors is an integer number (9186912).

Almost surely, 2^505253600 is an apocalyptic number.

505253600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661457664).

505253600 is an abundant number, since it is smaller than the sum of its proper divisors (817661728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505253600 is a wasteful number, since it uses less digits than its factorization.

505253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 505253600 is about 22477.8468719760. The cubic root of 505253600 is about 796.4707029743.

The spelling of 505253600 in words is "five hundred five million, two hundred fifty-three thousand, six hundred".